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Finding the Fourth Proportional to 205,840.56, 308,717.64 and 58,062

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Solution

The fourth proportional to 205,840.56, 308,717.64 and 58,062 is: 87,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,840.56 : 308,717.64 = 58,062 : x
  2. Step 2: Convert to fraction form
    205,840.56/308,717.64 = 58,062/x
  3. Step 3: Cross multiply
    205,840.56x = 308,717.64 × 58,062
  4. Step 4: Simplify right side
    205,840.56x = 17,924,763,613.68
  5. Step 5: Solve for x
    x = 17,924,763,613.68/205,840.56
  6. Step 6: Final answer
    x = 87,080.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.